The title is more meant to be "The Monitor" but it is owned by the Christian Science church. That is why the domain is csmonitor.
Their FAQ page also says:
"Is the Monitor a religious publication?
No, it’s a real news organization owned by a church – The First Church of Christ, Scientist, in Boston, Mass., USA. Everything in the Monitor is international and US news and features, except for one religious article in the weekly magazine and Daily News Briefing – a version of which has appeared each day since 1908, at the request of the Monitor’s founder, Mary Baker Eddy. In an age of corporate conglomerates dominating the news media, the Monitor’s combination of church ownership, public-service mission, and commitment to covering the world (not to mention the fact that it was founded by a woman shortly after the turn of the 20th century, when US women didn’t yet have the vote!) gives the Monitor a uniquely independent voice in journalism."
(My father used to make us read it to him on the way to school even...)
They are well known for being anti-sensationalism. The religion bit has no bearing on the paper except that an article on religion must be in every issue, but they don't attempt to advance/preach the christian scientist faith in any way.